Mathematical Modeling Using Sturm-Liouville System of Differential Equations to Physical Problems

Abstract

A few exactly solvable electrical conductivities useful in electromagnetic induction studies for Maxwell equations without displacement current have been evaluated by using Sturm-Liouville system of differential equations of the second order. A few solvable conductivities for the well-known Bessel, Stokes equations have also been presented

Keywords: Bessel, Stokes, Maxwell, equations, conductivities, magnetotellurics, electric field, magnetic field, induction.